| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
What is 7a6 - 8a6?
| -1 | |
| -a12 | |
| 15a12 | |
| -1a6 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a6 - 8a6 = -1a6
The dimensions of this cube are height (h) = 6, length (l) = 6, and width (w) = 3. What is the volume?
| 108 | |
| 48 | |
| 28 | |
| 126 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 6 x 3
v = 108
Factor y2 - 12y + 27
| (y - 9)(y + 3) | |
| (y + 9)(y - 3) | |
| (y - 9)(y - 3) | |
| (y + 9)(y + 3) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 27 as well and sum (Inside, Outside) to equal -12. For this problem, those two numbers are -9 and -3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 12y + 27
y2 + (-9 - 3)y + (-9 x -3)
(y - 9)(y - 3)
If c = 6 and y = -8, what is the value of 6c(c - y)?
| 504 | |
| -90 | |
| -12 | |
| -560 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
6c(c - y)
6(6)(6 + 8)
6(6)(14)
(36)(14)
504
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
acute, right, obtuse |
|
right, obtuse, acute |
|
acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.